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Self-circumference in the Minkowski plane

Published February 1989

Title from cover


"February 1989."

AD A205 691

Includes bibliographical references (p. 16-17)

Let delta(n) denote the self-circumference of a regular polygon with n sides. It will be shown that delta (n) is monotonically increasing from 6 to 2 pi if n is twice and odd number, and monotonically decreasing from 8 to 2 pi if n is twice an even number. Calculation of delta (n) for the case where n is odd as well as inequalities for self-circumference of some irregular polygons are given. Properties of the mixed area of a plane convex body and its polar dual are used to discuss the self-circumference of some convex curves. (kr)

aq/aq cc:9116 06/25/98

Publisher Monterey, California : Naval Postgraduate School
Pages 32
Language en_US
Call number a199445
Digitizing sponsor Naval Postgraduate School, Dudley Knox Library
Book contributor Naval Postgraduate School, Dudley Knox Library
Collection navalpostgraduateschoollibrary; fedlink; americana
Notes some content may be lost due to the binding of the book.

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Naval Postgraduate School, Dudley Knox Library
by Sielbeck, Stephen L.;Ramp, Steven R.;Rosenfeld, Leslie K.